Optimization of a U-Bend for Minimal Pressure Loss in Internal Cooling Channels: Part II—Experimental Validation

Coletti, Filippo; Verstraete, Tom; Vanderwielen, Timothe ́e; Bulle, Je ́re ́my; Arts, Tony

doi:10.1115/gt2011-46555

Cited by 14 publications

(20 citation statements)

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“…Furthermore, the run-time ratio between the derivative computation in the reverse mode of AD and the function (primal) evaluation should be in range [1 + 2q, 1.5 + 2.5q], where q is the number of adjoints. In our test example q = 1, therefore the expected range is [3,4].…”

Section: Performance Testsmentioning

confidence: 91%

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Algorithmic differentiation of the Open CASCADE Technology CAD kernel and its coupling with an adjoint CFD solver

Banović

Mykhaskiv

Auriemma³

et al. 2018

Optimization Methods and Software

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Computer Aided Design (CAD) tools are extensively used to design industrial components, however contrary to e.g. Computational Fluid Dynamics (CFD) solvers, shape sensitivities for gradient-based optimisation of CAD-parametrised geometries have only been available with inaccurate and non-robust finite differences. Here Algorithmic Differentiation (AD) is applied to the open-source CAD kernel Open CASCADE Technology using the AD software tool ADOL-C (Automatic Differentiation by OverLoading in C++). The differentiated CAD kernel is coupled with a discrete adjoint CFD solver, thus providing the first example of a complete differentiated design chain built from generic, multipurpose tools. The design chain is demonstrated on the gradient-based optimisation of a squared U-bend turbo-machinery cooling duct to minimise the total pressure loss.

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Section: Performance Testsmentioning

confidence: 91%

“…4.2. The complete case description can be found in [3,22]. In this work, we investigate the single objective of decreasing total pressure loss between the inlet and the outlet pipe.…”

Section: U-bend Optimisation In a Complete Differentiated Design Chainmentioning

confidence: 99%

Algorithmic differentiation of the Open CASCADE Technology CAD kernel and its coupling with an adjoint CFD solver

Banović

Mykhaskiv

Auriemma³

et al. 2018

Optimization Methods and Software

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show abstract

“…Such ducts can be found in many industrial cooling applications like turbine blades. Pressure loss optimization results can be found by other authors e.g, [1] or [2]. In contrast here a new method involving a temperature based objective function as depicted in equation 1is used.…”

Section: Description Of the Problemmentioning

confidence: 99%

Adjoint based topology optimization of a duct bend

Goeke

Wünsch

2019

Proc Appl Math and Mech

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The cooling performance of a duct is a complex interaction between its shape, position inside the surrounding material and the resulting flow. Hence a change in the geometry does effect both the pressure loss as well as the temperature distribution. Due to this coupling of heat transfer and fluid flow a numerical solution is often computationally expensive. Lowering the number of these evaluation steps is therefore crucial. A gradient based optimization method promises high optimization speed if the gradient can be computed effortlessly. The adjoint method in particular offers a low computational cost to calculate this gradient and is hence chosen for the optimization. In this contribution the continuous adjoint equations including conjugate heat transfer are used to optimize a duct bend. A level-set is used to differentiate the fluid and solid regions. The aim of the optimization is to lower the temperature of a wall inside the heated solid domain. The Reynolds number of the initial design is varied and the effects on the optimization are studied.

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“…Talya [8] studied the methods for blade profile and 2D film cooling optimization. Verstraete et al [11,12] studied the optimization of a U-bend for minimal pressure loss. Lee et al [13,14] optimized a fan-shaped film hole to find the effect of geometric variations on the cooling performance.…”

Section: Introductionmentioning

confidence: 99%

Semi-Inverse Design Optimization of Film Cooling Arrangement and Its Prediction of Coolant Amount of HPT Vanes

Chi

Liu

Zang

2016

JGPP

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Film cooling design is essential for modern HPT vanes. In this paper, a semi-inverse design optimization (SIDO) method for the film cooling arrangement of HPT vanes is introduced, which is based on a combinatorial optimization algorithm, a 1D heat conduction model and CFD methods. The SIDO method can optimize the total coolant amount of the film cooling structure while ensuring an acceptable metal temperature distribution. The optimization methodology was tested on a 2D vane derived from the 1st stage nozzle of a heavy-duty gas turbine, and the optimization result was validated by the conjugate heat transfer (CHT) CFD simulations. In further study, the SIDO method is applied to predict the optimal (necessary) coolant amount of the vane at various design conditions with different inlet temperature, maximal metal temperature allowed, heat conductivity of TBC, and intensity of internal/film cooling structures. The quantitive results suggested that the inlet temperature and the maximal metal temperature allowed are arbitrary to the necessary coolant amount. Improving film cooling performance is more effective to save coolant compared with internal cooling, especially at higher inlet temperature level. NOMENCLATURE c p Specific heat at constant pressure D Diameter of film hole d Thickness h Convective heat transfer coefficient k Turbulence kinetic energy / Number of sample points on PS & SS M Objective function m Mass flow N Population size (of GA) n Number of candidate holes p Pressure p * Total pressure q Wall heat flux T Temperature T * Total temperature X Streamwise distance x Bit of the design variable Y Spanwise (lateral) distance Greeks η Adiabatic film cooling effectiveness λ Heat conductivity ε Turbulent dissipation rate Subscripts ave Area-averaged c Coolant /

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Optimization of a U-Bend for Minimal Pressure Loss in Internal Cooling Channels: Part II—Experimental Validation

Cited by 14 publications

References 0 publications

Algorithmic differentiation of the Open CASCADE Technology CAD kernel and its coupling with an adjoint CFD solver

Algorithmic differentiation of the Open CASCADE Technology CAD kernel and its coupling with an adjoint CFD solver

Adjoint based topology optimization of a duct bend

Semi-Inverse Design Optimization of Film Cooling Arrangement and Its Prediction of Coolant Amount of HPT Vanes

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